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[Merged by Bors] - feat(algebraic_geometry/projective_spectrum): degree zero part of a localized ring #13398
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Co-authored-by: Johan Commelin <johan@commelin.net>
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…ocalized ring (#13398) If we have a graded ring A and some element f of A, the the localised ring A away from f has a degree zero part. This construction is useful because proj locally is spec of degree zero part of some localised ring. Perhaps this ring belongs to some other file or different name, suggestions are very welcome
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* origin/master: (394 commits) feat(data/set/[basic|prod]): make `×ˢ` bind more strongly, and define `mem.out` (#13422) feat(order/basic): Simple shortcut lemmas (#13421) chore(number_theory/dioph): Cleanup (#13403) feat(analysis/normed_space/exponential): ring homomorphisms are preserved by the exponential (#13402) feat(algebraic_geometry/projective_spectrum): degree zero part of a localized ring (#13398) feat(set_theory/cardinal): A set of cardinals is small iff it's bounded (#13373) feat(data/polynomial/{derivative, iterated_deriv}): reduce assumptions (#13368) feat(algebra/monoid_algebra/grading): Use the new graded_algebra API (#13360) feat(algebra/group/to_additive): let @[to_additive] mimic alias’s docstrings (#13330) feat(set_theory/cofinality): Basic fundamental sequences (#13326) feat(special_functions/pow): continuity of real to complex power (#13244) feat(group_theory/torsion): extension closedness, and torsion scalars in modules (#13172) feat(category_theory/path_category): canonical quotient of a path category (#13159) refactor(number_theory/padics/padic_norm): Switch nat and rat definitions (#12454) feat(analysis/normed): more lemmas about the sup norm on pi types and matrices (#13536) fix(category_theory/monoidal): improve hygiene in coherence tactic (#13507) feat(src/number_theory/cyclotomic/discriminant): add discr_prime_pow_ne_two (#13465) chore(algebra/group/type_tags): missing simp lemmas (#13553) feat(measure_theory): allow measurability to prove ae_strongly_measurable (#13427) refactor(algebra/hom/group): generalize a few lemmas to `monoid_hom_class` (#13447) chore(data/list/cycle): Add basic `simp` lemmas + minor golfing (#13533) feat(algebra/hom/non_unital_alg): introduce notation for non-unital algebra homomorphisms (#13470) chore(algebra/group/defs): Declare `field_simps` attribute earlier (#13543) feat(analysis/normed/normed_field): add `one_le_(nn)norm_one` for nontrivial normed rings (#13556) refactor(analysis/calculus/cont_diff): reorder the file (#13468) move(set_theory/*): Organize in folders (#13530) chore(number_theory/zsqrtd/basic): simplify le_total proof (#13555) feat(group_theory/perm/basic): Iterating a permutation is the same as taking a power (#13554) feat(data/real/sqrt): `sqrt x < y ↔ x < y^2` (#13546) feat(algebra/hom/group and *): introduce `mul_hom M N` notation `M →ₙ* N` (#13526) feat(group_theory/schreier): Schreier's lemma in terms of `group.fg` and `group.rank` (#13361) feat(linear_algebra/trace): dual_tensor_hom is an equivalence + basis-free characterization of the trace (#10372) feat(order/filter/basic): allow functions between different types in lemmas about [co]map by a constant function (#13542) feat(data/finset/basic): simp `to_finset_eq_empty` (#13531) feat(topology/algebra/algebra): ℚ-scalar multiplication is continuous (#13458) chore(model_theory/encoding): Improve the encoding of terms (#13532) feat(topology/separation): Finite sets in T2 spaces (#12845) feat(analysis/inner_product_space/gram_schmidt_ortho): Gram-Schmidt Orthogonalization and Orthonormalization (#12857) chore(algebra/big_operators/fin): golf finset.prod_range (#13535) chore(analysis/normed_space/star): make an argument explicit (#13523) feat(*): `op_op_op_comm` lemmas (#13528) chore(data/real/nnreal): add commuted version of `nnreal.mul_finset_sup` (#13512) chore(*/matrix): order `m` and `n` alphabetically (#13510) feat(analysis/calculus/specific_functions): trivial extra lemmas (#13516) feat(analysis): lemmas about nnnorm and nndist (#13498) feat(data/int/basic): add lemma `int.abs_le_one_iff` (#13513) feat(category_theory/limits): add characteristic predicate for zero objects (#13511) feat(order/filter/n_ary): Add lemma equating map₂ to map on the product (#13490) fix(analysis/locally_convex/balanced_hull_core): minimize import (#13450) feat(order/cover): define `wcovby` (#13424) ...
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If we have a graded ring A and some element f of A, the the localised ring A away from f has a degree zero part. This construction is useful because proj locally is spec of degree zero part of some localised ring.
Perhaps this ring belongs to some other file or different name, suggestions are very welcome